Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method

A. Khosrozadeh; M. A. Hajabasi; H. R. Fahham

doi:10.1115/1.4006789

Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method

A. Khosrozadeh, M. A. Hajabasi, H. R. Fahham

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this article, a new technique is introduced for establishing analytical approximate solutions to conservative oscillators with strong odd nonlinearity using the variational iteration method and the Fourier series. The illustrated examples show that only a few iterations can provide very accurate approximate solutions for the whole range of oscillation amplitude even for longer time ranges.

Original language	English
Article number	014502
Number of pages	5
Journal	Journal of Computational and Nonlinear Dynamics
Volume	8
Issue number	1
Early online date	23 Jul 2012
DOIs	https://doi.org/10.1115/1.4006789
Publication status	Published - 1 Jan 2013
Externally published	Yes

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title = "Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method",

abstract = "In this article, a new technique is introduced for establishing analytical approximate solutions to conservative oscillators with strong odd nonlinearity using the variational iteration method and the Fourier series. The illustrated examples show that only a few iterations can provide very accurate approximate solutions for the whole range of oscillation amplitude even for longer time ranges.",

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AB - In this article, a new technique is introduced for establishing analytical approximate solutions to conservative oscillators with strong odd nonlinearity using the variational iteration method and the Fourier series. The illustrated examples show that only a few iterations can provide very accurate approximate solutions for the whole range of oscillation amplitude even for longer time ranges.

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KW - variational iteration method

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Analytical Approximations to Conservative Oscillators With Odd Nonlinearity Using the Variational Iteration Method

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